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27426304 = 291723137
BaseRepresentation
bin110100010011…
…1111000000000
31220121101211001
41220213320000
524010120204
62415501344
7452056033
oct150477000
956541731
1027426304
1114532874
129227854
1358b36a9
1438dd01a
15261b4a4
hex1a27e00

27426304 has 80 divisors (see below), whose sum is σ = 60987168. Its totient is φ = 12255232.

The previous prime is 27426299. The next prime is 27426307. The reversal of 27426304 is 40362472.

It is a super-2 number, since 2×274263042 = 1504404302200832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27426307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200124 + ... + 200260.

Almost surely, 227426304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30493584).

27426304 is an abundant number, since it is smaller than the sum of its proper divisors (33560864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27426304 is a wasteful number, since it uses less digits than its factorization.

27426304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 27426304 is about 5237.0128890428. The cubic root of 27426304 is about 301.5706660464.

Adding to 27426304 its reverse (40362472), we get a palindrome (67788776).

It can be divided in two parts, 27426 and 304, that added together give a triangular number (27730 = T235).

The spelling of 27426304 in words is "twenty-seven million, four hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 137 184 256 272 274 368 391 512 544 548 736 782 1088 1096 1472 1564 2176 2192 2329 2944 3128 3151 4352 4384 4658 5888 6256 6302 8704 8768 9316 11776 12512 12604 17536 18632 25024 25208 35072 37264 50048 50416 53567 70144 74528 100096 100832 107134 149056 200192 201664 214268 298112 403328 428536 596224 806656 857072 1192448 1613312 1714144 3428288 6856576 13713152 27426304